Composite Shapes and Their Properties

This lesson covers how to calculate the surface area and volume of composite shapes, specifically prisms. It explains the process of combining two prisms to form a new shape and details the steps to calculate the surface area and volume of the resulting shape. The lesson emphasizes the importance of subtracting the area where the shapes touch when calculating surface area. It provides detailed examples for both triangular and rectangular prisms, including the necessary formulas and values.

What is a composite shape?

• A shape made by combining two or more shapes

• A shape that is circular

• A shape with equal sides

• A shape with only right angles

When calculating the surface area of a composite shape, why must the area where the shapes touch be subtracted?

• Because it is the smallest area

• Because it is part of the outside area

• Because it is not part of the outside area

• Because it is the largest area

What is the formula for the volume of a prism?

• Base times height divided by two

• Length times width times height

• Area of the base times height

• Perimeter of the base times height

In a triangular prism, what must be used as the base?

• The longest side

• The triangle

• The rectangle

• Any side

What is the perimeter of the base of the triangular prism in the example?

• 64 cm

• 34 cm

• 30 cm

• 17 cm

For a rectangular prism, which side can be chosen as the base?

• Any side

• Only the bottom

• Only the top

• Only the longest side

What is the area of the base of the rectangular prism in the example?

• 120 square cm

• 240 square cm

• 480 square cm

• 720 square cm

How is the total volume of the composite shape calculated?

• By subtracting the volumes of each shape

• By dividing the volumes of each shape

• By multiplying the volumes of each shape

• By adding the volumes of each shape

What is the total volume of the composite shape in the example?

• 15,840 cm cubed

• 12,960 cm cubed

• 1,440 cm cubed

• 2,880 cm cubed

What is the total surface area of the composite shape in the example?

• 1,776 cm squared

• 720 cm squared

• 3,384 cm squared

• 3,720 cm squared